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Finding the Fourth Proportional to 872.71, 1,307.01 and 688.88

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Solution

The fourth proportional to 872.71, 1,307.01 and 688.88 is: 1,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.71 : 1,307.01 = 688.88 : x
  2. Step 2: Convert to fraction form
    872.71/1,307.01 = 688.88/x
  3. Step 3: Cross multiply
    872.71x = 1,307.01 × 688.88
  4. Step 4: Simplify right side
    872.71x = 900,366.51
  5. Step 5: Solve for x
    x = 900,366.51/872.71
  6. Step 6: Final answer
    x = 1,031.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.